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Finding the Fourth Proportional to 1,423.87, 2,135.91 and 839.73

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Solution

The fourth proportional to 1,423.87, 2,135.91 and 839.73 is: 1,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.87 : 2,135.91 = 839.73 : x
  2. Step 2: Convert to fraction form
    1,423.87/2,135.91 = 839.73/x
  3. Step 3: Cross multiply
    1,423.87x = 2,135.91 × 839.73
  4. Step 4: Simplify right side
    1,423.87x = 1,793,587.70
  5. Step 5: Solve for x
    x = 1,793,587.70/1,423.87
  6. Step 6: Final answer
    x = 1,259.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.